Cost Given Most Economical Pipe Diameter Of Distribution System Calculator

Formula Used:

\[ Cds = 0.215 \times \frac{f \times Qec^3 \times P \times PA}{I \times dpipe^7 \times hAvghead} \]

Darcy Friction Factor (f):

Discharge for Economical Pipe (Qec):

m³/s

Hydroelectric Power (P):

Allowable Unit Stress (PA):

Initial Investment (I):

Pipe Diameter for Weir (dpipe):

Average Head (hAvghead):

Cost for Distribution System (Cds):

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1. What is the Cost Given Most Economical Pipe Diameter Of Distribution System Formula?

The formula calculates the cost for distribution system based on various hydraulic and economic parameters. It considers factors such as Darcy friction factor, discharge, hydroelectric power, allowable unit stress, initial investment, pipe diameter, and average head to determine the optimal cost for the distribution system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Cds = 0.215 \times \frac{f \times Qec^3 \times P \times PA}{I \times dpipe^7 \times hAvghead} \]

Where:

\( Cds \) — Cost for Distribution System
\( f \) — Darcy Friction Factor (dimensionless)
\( Qec \) — Discharge for Economical Pipe (m³/s)
\( P \) — Hydroelectric Power (W)
\( PA \) — Allowable Unit Stress (Pa)
\( I \) — Initial Investment
\( dpipe \) — Pipe Diameter for Weir (m)
\( hAvghead \) — Average Head (m)

Explanation: The formula calculates the cost efficiency of a distribution system by considering both hydraulic performance parameters and economic factors.

3. Importance of Cost Calculation

Details: Accurate cost calculation is crucial for hydraulic system design, economic feasibility analysis, and optimizing distribution system performance while minimizing expenses.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure all values are positive and within reasonable ranges for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the 0.215 constant?
A: The constant 0.215 is an empirical coefficient derived from experimental data and statistical analysis of distribution system costs.

Q2: Why is pipe diameter raised to the 7th power?
A: The pipe diameter has a significant impact on system cost due to its effect on material requirements, installation complexity, and hydraulic performance.

Q3: How does discharge affect the cost calculation?
A: Discharge is raised to the 3rd power, indicating that flow rate has a cubic relationship with system cost due to its impact on pipe sizing and energy requirements.

Q4: What are typical ranges for these parameters?
A: Parameter ranges vary based on specific applications, but generally: f (0.01-0.1), Qec (0.1-10 m³/s), P (1000-1000000 W), PA (100000-500000000 Pa), I (1000-1000000), dpipe (0.1-2 m), hAvghead (1-100 m).

Q5: Can this formula be used for any fluid distribution system?
A: While primarily designed for water distribution systems, the formula can be adapted for other Newtonian fluids with appropriate adjustments to parameters and constants.